Supplementary material for COGENT Winter School

This Winter School takes place at the University of Galway, Ireland, from 01 December 2025 to 12 December 2025. For more information visit its website.

This page here provides additional material related to the OSCAR portion of the Winter School, which is organized by Thomas Breuer and Max Horn.

Exercises

There are some exercises available for the OSCAR and GAP courses.

Also some solutions in OSCAR and in GAP for these exercise.

Slides

Slides for the talks: part 1, part 2, part 3, part 4.

Things to do before the Winter School

1. Install OSCAR by carefully following the instructions on the OSCAR install page.
2. Make yourself a bit familiar with Julia.
   • For example, work through a tutorial like this one.
   • The Julia Cheatsheet may also be helpful.
   • Implement FizzBuzz in Julia. That is: write a program which prints each integer $n$ from 1 to 100 on a new line. Then modify it so that for some values $n$ it instead prints…
     • Fizz if $n$ is divisible by 3,
     • Buzz if $n$ is divisible by 5,
     • FizzBuzz if $n$ is divisible by 3 and 5.
3. Work through an OSCAR tutorial. We recommend the Linear Algebra tutorial

Additional resources

• Feel free to have a look at the Group Theory chapter of the OSCAR book. If your institution does not have access, you can also read it on the arXiv.
• A bunch of OSCAR users and developers hang out on the OSCAR slack. This is a great place to ask any and all questions about OSCAR, for everyone from beginner to expert.
• By the way, GAP also uses Slack!